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Florida Math Standards - 4th Grade
MathScore aligns to the Florida Math Standards for 4th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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Number Sense, Concepts, and Operations
Benchmark MA.A.1.2.1: The student names whole numbers combining 3-digit numeration (hundreds, tens, ones) and the use of number periods, such as ones, thousands, and millions and associates verbal names, written word names, and standard numerals with whole numbers, commonly used fractions, decimals, and percents.
1. Reads, writes, and identifies whole numbers through millions or more. (Place Value )
2. Reads, writes, and identifies fractions and mixed numbers with denominators including 2, 3, 4, 5, 6, 8, 10, 12, 20, 25, 100, and 1000. (Fraction Pictures )
3. Reads, writes, and identifies decimals through hundredths. (Decimal Place Value )
Benchmark MA.A.1.2.2: The student understands the relative size of whole numbers, commonly used fractions, decimals, and percents.
1. Uses language and symbols (>, <, =) to compare numbers in the same form and in two different forms such as _ < 1. (Number Comparison , Order Numbers , Order Large Numbers , Compare Mixed Values )
2. Compares and orders whole numbers through millions or more, using concrete materials, number lines, drawings, and numerals. (Order Numbers , Order Large Numbers )
3. Compares and orders commonly used fractions and decimals to hundredths using concrete materials, drawings, and numerals. (Order Decimals , Compare Mixed Values , Fraction Comparison , Compare Decimals , Basic Fraction Comparison )
4. Locates whole numbers, fractions, mixed numbers, and decimals on a number line. (Positive Number Line )
Benchmark MA.A.1.2.3: The student understands concrete and symbolic representations of whole numbers, fractions, decimals, and percents in real-world situations.
1. Translates problem situations into diagrams and models using whole numbers, fractions, mixed numbers and decimals to hundredths including money notation.
Benchmark MA.A.1.2.4: The student understands that numbers can be represented in a variety of equivalent forms using whole numbers, decimals, fractions, and percents.
1. Uses concrete materials to model equivalent forms of whole numbers, fractions, and decimals. (Requires outside materials )
2. Identifies equivalent forms of numbers. (Basic Fraction Simplification , Fractions to Decimals )
3. Knows that two numbers in different forms are equivalent or non-equivalent, using whole numbers, decimals, fractions, and mixed numbers. (Basic Fraction Simplification , Fractions to Decimals )
Benchmark MA.A.2.2.1: The student uses place-value concepts of grouping based upon powers of ten (thousandths, hundredths, tenths, ones, tens, hundreds, thousands) within the decimal number system.
1. Knows the value of a given digit in numbers from hundredths to millions, including writing and interpreting expanded forms of numbers. (Place Value , Decimal Place Value )
Benchmark MA.A.2.2.2: The student recognizes and compares the decimal number system to the structure of other number systems such as the Roman numeral system or bases other than ten.
1. Uses concrete materials and symbolic notation to represent numbers in bases other than base ten, such as base five.
2. Reads, writes, and compares the decimal number system to the Roman numeral system using the Roman numerals I, V, X, L, C, D, and M.
Benchmark MA.A.3.2.1: The student understands and explains the effects of addition, subtraction, and multiplication on whole numbers, decimals, and fractions, including mixed numbers, and the effects of division on whole numbers, including the inverse relationship of multiplication and division.
1. Recalls (from memory) basic multiplication facts and related division facts. (Fast Multiplication , Fast Multiplication Reverse , Multiplication Facts Strategies , Fast Division )
2. Knows the inverse relationship of multiplication and division and demonstrates that relationship by writing related fact families. (Inverse Equations 2 )
3. Explains and demonstrates the multiplication and division of whole numbers using manipulatives, drawings, and algorithms. (Understanding Multiplication , Understanding Division )
4. Explains and demonstrates the addition and subtraction of common fractions using concrete materials, drawings, story problems, and algorithms. (Basic Fraction Addition , Basic Fraction Subtraction , Fraction Word Problems )
5. Explains and demonstrates the addition and subtraction of decimals (to hundredths) using concrete materials, drawings, story problems, and algorithms. (Making Change , Counting Money )
6. Knows the properties of numbers including the following:
a. the identity, commutative, and associative properties of addition (Associative Property 1 , Commutative Property 1 )
b. the zero and identity properties of multiplication
c. the commutative, associative, and distributive properties of multiplication. (Associative Property 2 , Commutative Property 2 , Basic Distributive Property )
7. Predicts the relative size of solutions in the following:
a. addition, subtraction, multiplication, and division of whole numbers
b. addition and subtraction of common fractions
c. addition and subtraction of decimals to hundredths
Benchmark MA.A.3.2.2: The student selects the appropriate operation to solve specific problems involving addition, subtraction, and multiplication of whole numbers, decimals, and fractions, and division of whole numbers.
1. Uses problem-solving strategies to determine the operation(s) needed to solve one- and two- step problems involving addition, subtraction, multiplication, and division of whole numbers, and addition and subtraction of decimals and fractions. (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 , Making Change , Counting Money , Fraction Word Problems )
Benchmark MA.A.3.2.3: The student adds, subtracts, and multiplies whole numbers, decimals, and fractions, including mixed numbers, and divides whole numbers to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator.
1. Solves real-world problems involving addition, subtraction, multiplication, and division of whole numbers, and addition and subtraction of decimals and fractions using an appropriate method (for example, mental math, pencil and paper, calculator). (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 , Making Change , Counting Money , Fraction Word Problems )
2. Explains the reason for choosing a particular computing method for a particular problem.
3. Solves real-world multiplication problems with whole numbers (three digits by one digit) using concrete materials, drawings, and pencil and paper.
4. Solves real-world division problems having divisors of one digit and dividends of three digits, with or without remainders. (Word Problems With Remainders )
5. Solves real-world problems involving the addition or subtraction of decimals (to hundredths) or common fractions with like or unlike denominators. (Making Change , Counting Money , Fraction Word Problems )
Benchmark MA.A.4.2.1: The student uses and justifies different estimation strategies in a real- world problem situation and determines the reasonableness of results of calculations in a given problem situation.
1. Chooses, describes and explains estimation strategies used to determine the reasonableness of solutions to real-world problems. (Rounding Numbers , Money Addition , Money Subtraction )
2. Estimates quantities of objects to 500 or more and justifies and explains the reasoning for the estimates (for example, using compatible numbers, benchmark numbers, unitizing).
Benchmark MA.A.5.2.1: The student understands and applies basic number theory concepts, including primes, composites, factors, and multiples.
1. Knows factors and multiples of numbers to 100. (Factoring )
2. Multiplies by 10, 100, and 1,000 recognizing and demonstrating patterns. (Multiply By Multiples Of 10 )
3. Knows rules of divisibility for 2, 3, 5, 9, and 10. (Divisibility Rules )
4. Uses models to identify perfect squares to 100. (Perfect Squares )
Measurement
Benchmark MA.B.1.2.1: The student uses concrete and graphic models to develop procedures for solving problems related to measurement including length, weight, time, temperature, perimeter, area, volume, and angle.
1. Knows measurement concepts and can use oral and written language to communicate them.
2. Uses a wide variety of models (for example, manipulatives, diagrams) and applies counting procedures to investigate measurements of length, area, volume, and perimeter.
3. Knows about varied time intervals, including decades, hours, minutes, and seconds. (Time Intervals )
4. Investigates angle measures using models and manipulatives for the common angles of 45° 90° and 180°(straight angle) and uses these angles as reference points for measures of other angles.
Benchmark MA.B.1.2.2: The student solves real-world problems involving length, weight, perimeter, area, capacity, volume, time, temperature, and angles.
1. Solves real-world problems involving measurement of the following:
a. length (for example, millimeter, quarter-inch, foot, yard, meter)
b. weight (for example, pounds, ounces, kilograms, grams)
c. capacity (for example, cup, milliliters)
d. temperature (Fahrenheit and Celsius)
e. angles (right and straight)
2. Solves real-world problems involving perimeter, area, and volume using concrete, graphic, or pictorial models.
3. Uses schedules, calendars, and elapsed time to solve real-world problems.
Benchmark MA.B.2.2.1: The student uses direct (measured) and indirect (not measured) measures to calculate and compare measurable characteristics.
1. Devises nonstandard, indirect ways to compare lengths (for example, compare the height of a cylinder to the distance around it).
2. Uses customary and metric units to compare length, weight, and capacity or volume.
3. Uses multiplication or division to convert units of measure within either the customary or metric system (for example: 100 cm = 1 m). (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion )
Benchmark MA.B.2.2.2: The student selects and uses appropriate standard and nonstandard units of measurement, according to type and size.
1. Knows an appropriate unit of measure to determine the dimension(s) of a given object (for example, standard - student chooses feet or inches instead of yards to measure a classroom desk; nonstandard - student chooses a pencil or his or her hand to measure a classroom desk).
2. Knows an appropriate unit of measure (standard or nonstandard) to measure weight and capacity.
Benchmark MA.B.3.2.1: The student solves real-world problems involving estimates of measurements, including length, time, weight, temperature, money, perimeter, area, and volume.
1. Knows how to determine whether an accurate or estimated measurement is needed for a solution. (Estimated Multiply Divide Word Problems )
2. Using real-world settings, objects, graph paper, or charts, solves problems involving estimated measurements, including the following:
a. length to nearest half-inch, centimeter
b. weight to nearest ounce, gram
c. time to nearest five-minute interval
d. temperature to nearest five-degree interval
e. money to nearest $1.00 (combination of coin and currency)
3. Knows how to estimate the area and perimeter of regular and irregular polygons using graph paper, geoboard, or other objects.
4. Knows how to estimate the volume of a rectangular prism using manipulatives or graphic representation.
Benchmark MA.B.4.2.1: The student determines which units of measurement, such as seconds, square inches, dollars per tankful, to use with answers to real-world problems.
1. Selects an appropriate measurement unit for labeling the solution to real-world problems. (Unit Cost , Perimeter and Area Word Problems )
Benchmark MA.B.4.2.2: The student selects and uses appropriate instruments and technology, including scales, rulers, thermometers, measuring cups, protractors, and gauges, to measure in real-world situations.
1. Selects and uses the appropriate tool for situational measures (for example, measuring sticks, scales and balances, thermometers, measuring cups, gauges).
Geometry and Spatial Sense
Benchmark MA.C.1.2.1: The student given a verbal description, draws and/or models two- and three-dimensional shapes and uses appropriate geometric vocabulary to write a description of a figure or a picture composed of geometric figures.
1. Uses appropriate geometric vocabulary to describe properties and attributes of two- and three- dimensional figures (for example, faces, edges, vertices, diameter).
2. Draws and classifies two-dimensional figures having up to eight or more sides. (Polygon Names )
Benchmark MA.C.2.2.1: The student understands the concepts of spatial relationships, symmetry, reflections, congruency, and similarity.
1. Uses manipulatives to solve problems requiring spatial visualization.
2. Knows symmetry, congruency, and reflections in geometric figures using drawings and concrete materials (for example, pattern blocks, mirrors).
3. Knows and creates congruent and similar figures. (Congruent And Similar Triangles )
Benchmark MA.C.2.2.2: The student predicts, illustrates, and verifies which figures could result from a flip, slide, or turn of a given figure.
1. Identifies and performs flips, slides, and turns given angle (90°, 180°) and direction (clockwise or counterclockwise) of turn, using concrete and graphic materials (for example, pattern blocks, geoboards, grid paper).
2. Knows the effect of a flip, slide, or turn (90°, 180°) on a geometric figure.
3. Explores tessellations.
Benchmark MA.C.3.2.1: The student represents and applies a variety of strategies and geometric properties and formulas for two- and three-dimensional shapes to solve real-world and mathematical problems.
1. Compares the concepts of area and perimeter using concrete materials (for example, color tiles, grid paper) and real-world situations (for example, carpeting a floor, fencing a yard). (Perimeter and Area Word Problems )
2. Applies the concepts of area and perimeter to solve real-world and mathematical problems. (Triangle Area , Parallelogram Area , Perimeter , Compare Rectangle Area and Perimeter , Perimeter and Area Word Problems )
3. Knows how area and perimeter are affected when geometric figures are combined. (Perimeter and Area of Composite Figures )
Benchmark MA.C.3.2.2: The student identifies and plots positive ordered pairs (whole numbers) in a rectangular coordinate system (graph).
1. Knows how to identify, locate, and plot ordered pairs of whole numbers on a graph or on the first quadrant of a coordinate system. (Ordered Pairs )
Algebraic Thinking
Benchmark MA.D.1.2.1: The student describes a wide variety of patterns and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols.
1. Describes, extends, and creates numerical and geometric patterns using a variety of models (for example, lists, tables, charts). (Patterns: Shapes )
2. Poses, solves, and explains problems by identifying a predictable visual or numerical pattern such as: Input 1 2 3 7 Output $3 $6 $9 ? (Patterns: Numbers , Patterns: Shapes )
Benchmark MA.D.1.2.2: The student generalizes a pattern, relation, or function to explain how a change in one quantity results in a change in another.
1. Knows mathematical relationships in patterns (for example, the second shape is the first shape turned 90°).
2. Analyzes number patterns and states rules for relationships (for example, 2, 4, 7, 9, 12, ... the rule is: +2, +3, +2, +3, ...). (Function Tables , Function Tables 2 )
3. Discusses, explains, and analyzes the rule that applies to the pattern.
4. Applies the appropriate rule to complete a table or a chart such as: Input 2 9 ? 7 Output 8 36 16 28 (Function Tables , Function Tables 2 )
Benchmark MA.D.2.2.1: The student represents a given simple problem situation using diagrams, models, and symbolic expressions translated from verbal phrases, or verbal phrases translated from symbolic expressions, etc.
1. Solves problems involving equations or simple inequalities using manipulatives, diagrams, or models, symbolic expressions, or written phrases. (Missing Factor , Missing Term , Missing Operator , Compare Expressions , Arithmetic Word Problems , Basic Word Problems 2 , Single Variable Inequalities )
2. Uses a variable to represent a given verbal expression (for example, seven times a number is 7n). (Phrases to Algebraic Expressions )
3. Translates problem-solving situations into expressions and equations using a variable for the unknown. (Arithmetic Word Problems , Basic Word Problems 2 , Algebraic Word Problems , Algebraic Sentences )
Benchmark MA.D.2.2.2: The student uses informal methods, such as physical models and graphs to solve real-world problems involving equations and inequalities.
1. Uses physical or pictorial models and graphs (for example, cubes, number lines) to solve equations or inequalities.
2. Uses information from physical models, graphs, or tables to solve problems.
Data Analysis and Probability
Benchmark MA.E.1.2.1: The student solves problems by generating, collecting, organizing, displaying, and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts.
1. Knows the purpose of different parts of a graph (for example, titles, labels, intervals, key).
2. Chooses reasonable titles and labels for graphs.
3. Interprets and compares information from different types of graphs including graphs from content-area materials and periodicals. (Tally and Pictographs , Bar Graphs , Line Graphs )
4. Generates questions, collects responses, and displays data on a pictograph, circle graph, bar, double bar, or line graph.
5. Interprets and completes circle graphs using common fractions.
6. Analyzes and explains orally or in writing the implications of data displays.
Benchmark MA.E.1.2.2: The student determines range, mean, median, and mode from sets of data.
1. Identifies the mean, median and mode from a set of data. (Mean, Median, Mode )
2. Identifies the range on a line graph.
Benchmark MA.E.1.2.3: The student analyzes real-world data to recognize patterns and relationships of the measures of central tendency using tables, charts, histograms, bar graphs, line graphs, pictographs, and circle graphs generated by appropriate technology, including calculators and computers.
1. Uses a calculator to determine the range and mean of a set of data.
2. Uses computer applications to examine and evaluate data.
3. Uses computer applications to construct graphs.
Benchmark MA.E.2.2.1: The student uses models, such as tree diagrams, to display possible outcomes and to predict events.
1. Determines the number of possible combinations of given items and displays them in an organized way.
2. Represents all possible outcomes for a simple probability situation or event using models such as organized lists, charts, or tree diagrams.
3. Calculates the probability of a particular event occurring from a set of all possible outcomes. (Probability )
Benchmark MA.E.2.2.2: The student predicts the likelihood of simple events occurring.
1. Identifies and records using common fractions, the possible outcomes of simple experiments using concrete materials (for example, spinners, number cubes, coin toss). (Probability )
2. Determines and predicts which outcomes are likely to occur and expresses those expected outcomes as fractions. (Probability )
3. Conducts experiments to test predictions.
Benchmark MA.E.3.2.1: The student designs experiments to answer class or personal questions, collects information, and interprets the results using statistics (range, mean, median, and mode) and pictographs, charts, bar graphs, circle graphs, and line graphs.
1. Designs a class survey to collect data.
2. Creates an appropriate graph to display data (for example, pictographs, bar graphs, line graphs, circle graphs).
3. Determines appropriate statistical measures for data (range, mean, median, mode). (Mean, Median, Mode )
4. Explains the results using statistics (range and measures of central tendency).
Benchmark MA.E.3.2.2: The student uses statistical data about life situations to make predictions and justifies reasoning.
1. Uses statistical data to identify trends.
2. Applies statistical data to make generalizations.
3. Justifies and explains generalizations.
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